The graph of the derivative f' of a function f is shown. 4 6 8. 10 12 14 (a) On what interval is f increasing? (Enter your wer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or minimum? (Enter your answers as a comma-separated list.) X =

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A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

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Q: 19/9 10/9 Find any critical numbers for the function f(x) =x' whether the critical numbers lead to…

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Q: 3. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

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Q: 1.2. Find the x-values for any points on the curve y =f(x) with horizontal tangents. 1. Let f(x) =…

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Q: 2. Consider the following function; f (x) = x² /5 - A. Find the critical values of "f ". B. Use the…

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Q: 2 3 Use the first derivative test to determine the local extrema, if any, for the function f(x) =…

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A: for f'(x) see 2nd and 3rd step. for g'(x) see 4th and 5th step.

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Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

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Q: Can you help step by step please?

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Q: The graph of the derivative f'of a function f over the interval (0, 6) is shown. y y = f '(x) 4 6 8.…

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Q: Answer the following questions about the functions whose derivativesare given:a. What are the…

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Q: 13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of…

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Q: Answer the following questions about the functions whose derivativesare given:a. What are the…

A: Given: f'x=x-1e-x we know that critical points are define as points on graph of a function where f'x…

Q: 1 Answer the following questions about the function whose derivative is f'(x) = x a. What are the…

A: Given equation of derivative,  f'(x) = x-1/5(x-4)    For part A).  f'(x) = 0 x= 0 and 4 are critical…

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Q: -) Givea the following data table= 国间。间 28 f(x.)- X, 2 42 3 50 Use Second-order finite difference to…

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Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

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Q: 4. The graph of f'(x), the derivative of a function f(x), is shown at right. Which of the following…

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Q: The graph of the derivative f' of a function f is shown. y= f'(x) 2 4 6 8 For what value(s) of x…

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Q: The following graph of the derivative g' has exactly two roots.a. Find the critical points of g.b.…

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A: Using the product rule of natural logarithm, it can be written that ln(ab)=ln(a)+ln(b) . Using the…

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: The given functions are: fx=2x2-1x2+3x2+1 and gx=x2+872-3x25 The person's brother believes that,…

Q: This question is designed to be answered without a calculator. Let g(x) = f(t)dt. At what value of x…

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